Height of Isosceles Trapezoid Calculator

✖Lateral Edge of Isosceles Trapezoid is the length of the pair of opposite and non parallel edges of the Isosceles Trapezoid.ⓘ Lateral Edge of Isosceles Trapezoid [l_e(Lateral)]			+10% -10%
✖Long Base of Isosceles Trapezoid is the longer side among the pair of parallel sides of the Isosceles Trapezoid.ⓘ Long Base of Isosceles Trapezoid [B_Long]			+10% -10%
✖Short Base of Isosceles Trapezoid is the shorter side among the pair of parallel sides of the Isosceles Trapezoid.ⓘ Short Base of Isosceles Trapezoid [B_Short]			+10% -10%

✖Height of Isosceles Trapezoid is the perpendicular distance between the pair of parallel base edges of the Isosceles Trapezoid.ⓘ Height of Isosceles Trapezoid [h]

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Height of Isosceles Trapezoid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Isosceles Trapezoid = 1/2*sqrt((4*Lateral Edge of Isosceles Trapezoid^2)-(Long Base of Isosceles Trapezoid-Short Base of Isosceles Trapezoid)^2)
h = 1/2*sqrt((4*l_e(Lateral)^2)-(B_Long-B_Short)^2)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Height of Isosceles Trapezoid - (Measured in Meter) - Height of Isosceles Trapezoid is the perpendicular distance between the pair of parallel base edges of the Isosceles Trapezoid.
Lateral Edge of Isosceles Trapezoid - (Measured in Meter) - Lateral Edge of Isosceles Trapezoid is the length of the pair of opposite and non parallel edges of the Isosceles Trapezoid.
Long Base of Isosceles Trapezoid - (Measured in Meter) - Long Base of Isosceles Trapezoid is the longer side among the pair of parallel sides of the Isosceles Trapezoid.
Short Base of Isosceles Trapezoid - (Measured in Meter) - Short Base of Isosceles Trapezoid is the shorter side among the pair of parallel sides of the Isosceles Trapezoid.

STEP 1: Convert Input(s) to Base Unit

Lateral Edge of Isosceles Trapezoid: 5 Meter --> 5 Meter No Conversion Required
Long Base of Isosceles Trapezoid: 15 Meter --> 15 Meter No Conversion Required
Short Base of Isosceles Trapezoid: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = 1/2*sqrt((4*l_e(Lateral)^2)-(B_Long-B_Short)^2) --> 1/2*sqrt((4*5^2)-(15-9)^2)

Evaluating ... ...

h = 4

STEP 3: Convert Result to Output's Unit

4 Meter --> No Conversion Required

FINAL ANSWER

4 Meter <-- Height of Isosceles Trapezoid

(Calculation completed in 00.004 seconds)

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< Height of Isosceles Trapezoid Calculators

Height of Isosceles Trapezoid given Diagonal

LaTeX Go Height of Isosceles Trapezoid = (Diagonal of Isosceles Trapezoid^2)/(Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid)*sin(Obtuse Angle of Diagonals of Isosceles Trapezoid)

Height of Isosceles Trapezoid given Long and Short Base

LaTeX Go Height of Isosceles Trapezoid = ((Long Base of Isosceles Trapezoid-Short Base of Isosceles Trapezoid)/2)*tan(Acute Angle of Isosceles Trapezoid)

Height of Isosceles Trapezoid given Lateral Edge and Obtuse Angle

LaTeX Go Height of Isosceles Trapezoid = Lateral Edge of Isosceles Trapezoid*sin(Obtuse Angle of Isosceles Trapezoid)

Height of Isosceles Trapezoid given Lateral Edge and Acute Angle

LaTeX Go Height of Isosceles Trapezoid = Lateral Edge of Isosceles Trapezoid*sin(Acute Angle of Isosceles Trapezoid)

< Height of Isosceles Trapezoid Calculators

Height of Isosceles Trapezoid

LaTeX Go Height of Isosceles Trapezoid = 1/2*sqrt((4*Lateral Edge of Isosceles Trapezoid^2)-(Long Base of Isosceles Trapezoid-Short Base of Isosceles Trapezoid)^2)

Height of Isosceles Trapezoid given Long and Short Base

LaTeX Go Height of Isosceles Trapezoid = ((Long Base of Isosceles Trapezoid-Short Base of Isosceles Trapezoid)/2)*tan(Acute Angle of Isosceles Trapezoid)

Height of Isosceles Trapezoid given Area

LaTeX Go Height of Isosceles Trapezoid = (2*Area of Isosceles Trapezoid)/(Long Base of Isosceles Trapezoid+Short Base of Isosceles Trapezoid)

Height of Isosceles Trapezoid given Lateral Edge and Acute Angle

LaTeX Go Height of Isosceles Trapezoid = Lateral Edge of Isosceles Trapezoid*sin(Acute Angle of Isosceles Trapezoid)

Height of Isosceles Trapezoid Formula

LaTeX Go

What is an Isosceles Trapezoid?

A Trapezoid is a quadrilateral with one pair of parallel edges. An Isosceles Trapezoid means a trapezoid with the pair of non parallel edges are equal. The parallel pair of edges are called bases and the pair of non parallel equal edges are called lateral edges. The angles on the long base are equal acute angles and the angles on the short base are equal obtuse angles. Also, the pair of opposite angles are supplementary to each other. And hence an Isosceles Trapezoid is cyclic.

How to Calculate Height of Isosceles Trapezoid?

Height of Isosceles Trapezoid calculator uses Height of Isosceles Trapezoid = 1/2*sqrt((4*Lateral Edge of Isosceles Trapezoid^2)-(Long Base of Isosceles Trapezoid-Short Base of Isosceles Trapezoid)^2) to calculate the Height of Isosceles Trapezoid, Height of Isosceles Trapezoid formula is defined as the perpendicular distance between the pair of parallel base edges of the Isosceles Trapezoid. Height of Isosceles Trapezoid is denoted by h symbol.

How to calculate Height of Isosceles Trapezoid using this online calculator? To use this online calculator for Height of Isosceles Trapezoid, enter Lateral Edge of Isosceles Trapezoid (l_e(Lateral)), Long Base of Isosceles Trapezoid (B_Long) & Short Base of Isosceles Trapezoid (B_Short) and hit the calculate button. Here is how the Height of Isosceles Trapezoid calculation can be explained with given input values -> 4 = 1/2*sqrt((4*5^2)-(15-9)^2).

FAQ

What is Height of Isosceles Trapezoid?

Height of Isosceles Trapezoid formula is defined as the perpendicular distance between the pair of parallel base edges of the Isosceles Trapezoid and is represented as h = 1/2*sqrt((4*l_e(Lateral)^2)-(B_Long-B_Short)^2) or Height of Isosceles Trapezoid = 1/2*sqrt((4*Lateral Edge of Isosceles Trapezoid^2)-(Long Base of Isosceles Trapezoid-Short Base of Isosceles Trapezoid)^2). Lateral Edge of Isosceles Trapezoid is the length of the pair of opposite and non parallel edges of the Isosceles Trapezoid, Long Base of Isosceles Trapezoid is the longer side among the pair of parallel sides of the Isosceles Trapezoid & Short Base of Isosceles Trapezoid is the shorter side among the pair of parallel sides of the Isosceles Trapezoid.

How to calculate Height of Isosceles Trapezoid?

Height of Isosceles Trapezoid formula is defined as the perpendicular distance between the pair of parallel base edges of the Isosceles Trapezoid is calculated using Height of Isosceles Trapezoid = 1/2*sqrt((4*Lateral Edge of Isosceles Trapezoid^2)-(Long Base of Isosceles Trapezoid-Short Base of Isosceles Trapezoid)^2). To calculate Height of Isosceles Trapezoid, you need Lateral Edge of Isosceles Trapezoid (l_e(Lateral)), Long Base of Isosceles Trapezoid (B_Long) & Short Base of Isosceles Trapezoid (B_Short). With our tool, you need to enter the respective value for Lateral Edge of Isosceles Trapezoid, Long Base of Isosceles Trapezoid & Short Base of Isosceles Trapezoid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Height of Isosceles Trapezoid?

In this formula, Height of Isosceles Trapezoid uses Lateral Edge of Isosceles Trapezoid, Long Base of Isosceles Trapezoid & Short Base of Isosceles Trapezoid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Height of Isosceles Trapezoid = Lateral Edge of Isosceles Trapezoid*sin(Obtuse Angle of Isosceles Trapezoid)
Height of Isosceles Trapezoid = Lateral Edge of Isosceles Trapezoid*sin(Acute Angle of Isosceles Trapezoid)
Height of Isosceles Trapezoid = ((Long Base of Isosceles Trapezoid-Short Base of Isosceles Trapezoid)/2)*tan(Acute Angle of Isosceles Trapezoid)

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